90971379840 has 1024 divisors, whose sum is σ = 351947980800. Its totient is φ = 19740672000.

The previous prime is 90971379827. The next prime is 90971379841. The reversal of 90971379840 is 4897317909.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (90971379841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 883217229 + ... + 883217331.

It is an arithmetic number, because the mean of its divisors is an integer number (343699200).

Almost surely, 2^90971379840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90971379840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175973990400).

90971379840 is an abundant number, since it is smaller than the sum of its proper divisors (260976600960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

90971379840 is a wasteful number, since it uses less digits than its factorization.

90971379840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 57.

The spelling of 90971379840 in words is "ninety billion, nine hundred seventy-one million, three hundred seventy-nine thousand, eight hundred forty".